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A dielectric slab of dielectric constant 3 having the same area of cross-section as that of a parallel plate capacitor but of thickness 3/4th of the separation of the plates is inserted into the capacitor. The ratio of potential difference across the plates without dielectric to that with dielectric is:
A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?
The molar specific heats of an ideal gas at constant pressure and volume are denoted by $C_P$ and $C_V$ respectively. If $\gamma = C_P/C_V$ and $R$ is the universal gas constant, then $C_V$ is equal to:
If potential (in volts) in a region is expressed as V(x,y,z) = 6xy - y + 2yz, the electric field (in N/C) at point (1,1,0) is
A short electric dipole has a dipole moment of $16 \times 10^{-9} \text{ C m}$. The electric potential due to the dipole at a point at a distance of $0.6 \text{ m}$ from the centre of the dipole situated on a line making an angle of $60^{\circ}$ with the dipole axis is: $(\frac{1}{4\pi\epsilon_0} = 9 \times 10^9 \text{ N m}^2/\text{C}^2)$
A parallel plate capacitor with cross-sectional area A and separation d has air between the plates. An insulating slab of the same area but the thickness of d/2 is inserted between the plates as shown in the figure, having a dielectric constant, K=4. The ratio of the new capacitance to its original capacitance will be:
In a certain region of space with volume $0.2 \text{ m}^3$, the electric potential is found to be $5 \text{ V}$ throughout. The magnitude of the electric field in this region is:
A projectile is fired at an angle of $45^{\circ}$ with the horizontal. The elevation angle $\alpha$ of the projectile at its highest point as seen from the point of projection is:
A cricket ball is thrown by a player at a speed of $20 \text{ m/s}$ in a direction $30^{\circ}$ above the horizontal. The maximum height attained by the ball during its motion is: (Take $g=10 \text{ m/s}^2$)
If a conducting sphere of radius R is charged. Then the electric field at a distance r (r > R) from the centre of the sphere would be, (V = potential on the surface of the sphere):
Two bodies of mass $m$ and $9m$ are placed at a distance $R$. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be: ($G=$ gravitational constant)
A body of mass m is taken from the earth’s surface to the height equal to twice the radius (R) of the earth. The change in potential energy of the body will be
If a soap bubble expands, the pressure inside the bubble:
A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small as compared to the mass of the earth. Then,
If the K.E. of a body is increased by $300\%$, its momentum will increase by:
The magnetic susceptibility is negative for:
The time period of a geostationary satellite is $24 \text{ hr}$ at a height $6R_E$ ($R_E$ is the radius of the Earth) from the surface of the earth. The time period of another satellite whose height is $2.5R_E$ from the surface will be:
In the given V-T diagram, what is the relation between pressure $P_1$ and $P_2$?
The following figures show the arrangement of bar magnets in different configurations. Each magnet has a magnetic dipole moment $\mathbf{m}$. Which configuration has the highest net magnetic dipole moment?
The dependence of acceleration due to gravity g on the distance r from the centre of the earth assumed to be a sphere of radius R of uniform density is as shown in the figure below: